College Algebra

Question 1

What is a set?

Answer 1

A collection of objects whose contents can be clearly determined. They can be represented in many different ways.

Question 2

What is a Universal Set?

Answer 2

A general set that contains all the elements under discussion. (ex. All the students in the class right now 1,2,3,4,5, etc.)

Question 3

What are subsets?

Answer 3

Each set has to have shared numbers, every single element of one of the sets has to be in the other one to be a subset. (Set A is a subset of Set B. )

Question 4

What is an empty set?

Answer 4

A set that contains no elements.

Question 5

What is a compliment in operation of sets?

Answer 5

(The compliment of set A, is A’.) The compliment exists as a set of all the elements in the universal set that are NOT in set A.

Question 6

What is an Intersection in operations on sets?

Answer 6

( A upside down U B) The intersection of the sets are all of the elements that both sets share.

Question 7

What is a union in operations on sets?

Answer 7

(A U B) The union set is combining all of the elements of both set A and set B together, to make one set.

Question 8

What are three different types of solutions when solving linear equations?

Answer 8

One solution, no solutions, infinite number of solutions

Question 9

What does solving a linear equation mean?

Answer 9

it means finding the set of values that make the inequality true when solving with that value.

Question 10

When do we flip the inequality sign in a equation?

Answer 10

When we multiply or divide both sides of an inequality by a negative number.

Question 11

What is the solution set written as an inequality?

Answer 11

ex: x<7

Question 12

What is the solution set written as an interval?

Answer 12

ex. (-oo,7)

Question 13

What letter represents the slope?

Answer 13

The letter m

Question 14

What is the equation to find the slope of a function with points?

Answer 14

y2-y1
x2-x1

Question 15

If the slope equals zero what is it called?

Answer 15

Undefined

Question 16

The population of a town has declined, in 1990 it was 60000, and in 2000 it was 58000. What are the x and ys in this problem?

Answer 16

(1990 , 60,000)
x1 , y1
(2000 , 58000)
y1 , y2

Question 17

What is a relation?

Answer 17

A correspondence between two sets.

Question 18

What are a few different function representations?

Answer 18

Sets of ordered pairs, algebraically, and graphically

Question 19

Adding Polynomials: (x^2+2x-4) + (-4x+8)

Answer 19

Answer: x^2 - 2x + 4

Question 20

Subtracting Polynomials:
(x^2 + 2x - 4) - ( -4x + 8)

Answer 20

Answer: x^2 + 6x - 12

Question 21

Multiplying Polynomials:
(2x - 3 )^2

Answer 21

4x^2- 12x - 9

Question 22

Multiplying Polynomials:
(p - 4) (p^2 - 2p - 7)

Answer 22

p^3 - 6p^2 + p + 28

Question 23

When multiplying like Variables together, what do you do with the exponents?

Answer 23

You add them.

Question 24

Divide Polynomials:
12x^3 - 2x^2 + 6 / 2

Answer 24

6x^3 - x^2 + 3

Question 25

when dividing like variables, what do you do with the exponents?

Answer 25

You subtract them.